Feynman-Kac representation for the parabolic Anderson model driven by fractional noise

Kamran Kalbasi, Thomas S. Mountford

We consider the parabolic Anderson model driven by fractional noise: $$ \frac{\partial}{\partial t}u(t,x)= κ\boldsymbolΔ u(t,x)+ u(t,x)\frac{\partial}{\partial t}W(t,x) \qquad x\in…